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Finding the Fourth Proportional to 297,809.82, 446,798.10 and 120,441.38

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Solution

The fourth proportional to 297,809.82, 446,798.10 and 120,441.38 is: 180,695.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,809.82 : 446,798.10 = 120,441.38 : x
  2. Step 2: Convert to fraction form
    297,809.82/446,798.10 = 120,441.38/x
  3. Step 3: Cross multiply
    297,809.82x = 446,798.10 × 120,441.38
  4. Step 4: Simplify right side
    297,809.82x = 53,812,979,745.38
  5. Step 5: Solve for x
    x = 53,812,979,745.38/297,809.82
  6. Step 6: Final answer
    x = 180,695.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.